1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Firdavs [7]
3 years ago
12

Solve 4x+2 = 12 for x using the change of base formula

Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0

Answer:

x=2.5

Step-by-step explanation:

We have,

4x+2=12

\implies4x=10

Taking log both the sides we have,  

log\,4x=log\,10

\implies log\,4 + log\,x=log\,10 \left\:\: [ \because log\,ab = log\, a + log\, b\right ]

\implies log\,x=log\,10 -log\,4

\implies log\,x={ log\,(\frac{10}{4}) \:\:\left [\because log\,a -log\,b= log\,\frac{a}{b} \right ]

\implies log\,x=log\,2.5

\implies \frac{log\,x}{log\,2.5}=1

\implies log_{(2.5)}\, x=1\:\:\left [ \because log_{b}\,a=\frac{log\,a}{log\,b} \right ]

\implies x=(2.5)^{1}\:\: [ \because log_{b}\,a=m \implies a=b^{m} ]

Hence, we have x=2.5

You might be interested in
Mrs anglin is driving her car at a constant speed of 90 miles in 2 hours select three statements that are true based on her spee
Ira Lisetskai [31]

Answer:

  • She traveled 45 miles in 1 hour
  • She traveled 270 miles in 6 hours
  • She traveled 360 miles in 8 hours

Step-by-step explanation:

If Mrs. Anglin traveled at a speed of 90 miles in 2 hours, it means that her speed per hour is:

= 90/2

= 45 mph

If she is travelling at 45mph then in 1 hoour she would have traveled 45 miles.

In 6 hours she would have traveled:

= 45 * 6

=  270 miles

In 8 hours she would have traveled:

= 45 * 8

= 360 miles

6 0
2 years ago
How to multiply a whole number by a fraction ​
AURORKA [14]

Answer:

There are 3 simple steps to multiply fractions

1. Multiply the top numbers (the numerators).

2. Multiply the bottom numbers (the denominators).

3. Simplify the fraction if needed.

Step-by-step explanation:

can i get brainliest pls?

5 0
2 years ago
The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectang
Evgesh-ka [11]

Answer:

The length in centimeters is (24-x) centimeters

Step-by-step explanation:

Mathematically, we are told that the equation linking the length, width and perimeter is as follows;

2(length) + 2(width) = 48

But in this case, we are told that the width is x centimeters

2(length) + 2(x) = 48

2(length) = 48-2x

length = (48-2x)/2

length = 24 - x

4 0
3 years ago
5/3 divided by (-6/7).<br>Write your answer in simplest form.<br><br>Please please Help me!! ​
lana [24]

Answer:

-1  17/18

Step-by-step explanation:

I solved this.

7 0
2 years ago
Read 2 more answers
Find two points on the line to be graphed. y-5=0
Nonamiya [84]
Any point with the y of 5 could be the answer
3 0
2 years ago
Other questions:
  • What is the approximate circumference of a circle with a radius of 20 inches? Use π ≈ 3.14.
    8·2 answers
  • Inequalities help please
    10·1 answer
  • A truck is rented at $40 per day plus a charge per mile of use. The truck traveled 15 miles in one day, and the total charge was
    12·2 answers
  • Where is the hole for the following function located?,
    6·1 answer
  • eric is ten years older than sal &amp; mick is twice sals age their combined age equals 110 how old is sal
    6·1 answer
  • What is the greatest common factor of 20x^4 and 6x^3<br><br> X^3<br> X^4<br> 2x^3<br> 2x^4
    15·2 answers
  • 16/19 as a decimal rounded to the nearest tenth
    5·2 answers
  • 2 1/4 w =6 3/4 yaaaaaaaaaaa
    7·1 answer
  • Un campo de fútbol mide de largo 105m y de ancho 65m¿cuál es el área total del campo de fútbol?​
    15·1 answer
  • Let g(x) be the reflection of f(x) = 3x + 2 in the x-axis. What is a function rule for g(x)?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!